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Finding the Fourth Proportional to 6,958.51, 10,438.11 and 2,278.10

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Solution

The fourth proportional to 6,958.51, 10,438.11 and 2,278.10 is: 3,417.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,958.51 : 10,438.11 = 2,278.10 : x
  2. Step 2: Convert to fraction form
    6,958.51/10,438.11 = 2,278.10/x
  3. Step 3: Cross multiply
    6,958.51x = 10,438.11 × 2,278.10
  4. Step 4: Simplify right side
    6,958.51x = 23,779,084.49
  5. Step 5: Solve for x
    x = 23,779,084.49/6,958.51
  6. Step 6: Final answer
    x = 3,417.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.